Finite Group Databasebeta

← Group #262198

Character table — Group #262198

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444888888882444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-1111111111-11-1-1-11-1-1-1-11-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1111-1-1111-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1111111-1-1-1-1
χ911111111-1-1-1-111-1-1111111-1-1111111-1-1-1-11-1-1-11111-1-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-11-111-1-11-1-11-11-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-111-1-1-1-111111-1-1-1-1-111-111-11-1-1-111-1-111
χ1211111111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-11111-1111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11-1-11-1111-1-1111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-11-11111-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-11111-11-1-1-1-11-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-111111-11-1-1-111-111-1-1-1-111
χ172222222222222-2-2-2-2-22-2002-2000000000000000002-2000-2200000000
χ182222222222222-2-2-2-2-22-2002-200000000000000000-220002-200000000
χ19222222222222-22-2-2-2-2-2200-220000000000202000-20000-20000000000
χ20222222222222-22-2-2-2-2-2200-220000000000-20-20002000020000000000
χ21222222222222-2-22222-2-222-2-2-2-200000000020-2000000000000000000
χ22222222222222-2-22222-2-2-2-2-2-222000000000-202000000000000000000
χ2322222222-2-2-2-22-222-2-22-200-220000000000000000022000-2-200000000
χ2422222222-2-2-2-22-222-2-22-200-2200000000000000000-2-20002200000000
χ2522222222-2-2-2-2-2222-2-2-22002-2000000000020-2000-2000020000000000
χ2622222222-2-2-2-2-2222-2-2-22002-20000000000-20200020000-20000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-2000000000-202000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000020-2000000000000000000
χ292-2-22-22-22000022002-2-2-22-2002-22i2i−2i−2i000000002i−2i0000000000000000
χ302-2-22-22-22000022002-2-2-22-2002-2−2i−2i2i2i00000000−2i2i0000000000000000
χ312-2-22-22-22000022002-2-2-2-2200-222i2i−2i−2i00000000−2i2i0000000000000000
χ322-2-22-22-22000022002-2-2-2-2200-22−2i−2i2i2i000000002i−2i0000000000000000
χ332-2-22-22-220000-2-2002-2222-200-22000022-2-20000000002-200000000000
χ342-2-22-22-220000-2-2002-2222-200-220000-2-222000000000-2200000000000
χ352-2-22-22-220000-2-2002-222-22002-2000022-2-2000000000-2200000000000
χ362-2-22-22-220000-2-2002-222-22002-20000-2-2220000000002-200000000000
χ37444-4-4-4-444i4i−4i−4i000000000000002i−2i2i−2i2-22-20000000000000000000000
χ38444-4-4-4-444i4i−4i−4i00000000000000−2i2i−2i2i-22-220000000000000000000000
χ39444-4-4-4-44−4i−4i4i4i000000000000002i−2i2i−2i-22-220000000000000000000000
χ40444-4-4-4-44−4i−4i4i4i00000000000000−2i2i−2i2i2-22-20000000000000000000000
χ4144-444-4-4-44-44-40000000000000000000000000000000000002-22-20000
χ4244-444-4-4-44-44-4000000000000000000000000000000000000-22-220000
χ4344-444-4-4-4-44-440000000000000000000000000000000000002-2-220000
χ4444-444-4-4-4-44-44000000000000000000000000000000000000-222-20000
χ4544-4-4-444-44i−4i−4i4i00000000000000000000000000000000000000002-22i−2i
χ4644-4-4-444-44i−4i−4i4i0000000000000000000000000000000000000000-22−2i2i
χ4744-4-4-444-4−4i4i4i−4i00000000000000000000000000000000000000002-2−2i2i
χ4844-4-4-444-4−4i4i4i−4i0000000000000000000000000000000000000000-222i−2i
χ494-4-44-44-4400004-400-44-44000000000000000000000000000000000000
χ504-4-44-44-440000-4400-444-4000000000000000000000000000000000000
χ514-4-4-44-4440000004-400000000002-2-222-2-220000000000000000000000
χ524-4-4-44-4440000004-40000000000-222-2-222-20000000000000000000000
χ534-4-4-44-444000000-4400000000002-2-22-222-20000000000000000000000
χ544-4-4-44-444000000-440000000000-222-22-2-220000000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-888-8-8000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).